# A Circus of Circuits: Connections Between Decision Diagrams, Circuits, and Automata

arXiv: https://arxiv.org/abs/2404.09674 · HTML: https://mlsanity.com/paper/2404.09674/

## Key facts

- Cited by 3 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 15 Apr 2024.

## Built on by (most cited first, 3 of 3)

- [A Compositional Atlas for Algebraic Circuits](https://mlsanity.com/paper/2412.05481/) (2024)
- [Restructuring Tractable Probabilistic Circuits](https://mlsanity.com/paper/2411.12256/) (2024)
- [On approximating the f-divergence between two Ising models](https://mlsanity.com/paper/2509.05016/) (2025)

## Abstract (arXiv)

This document is an introduction to two related formalisms to define Boolean functions: binary decision diagrams, and Boolean circuits. It presents these formalisms and several of their variants studied in the setting of knowledge compilation. Last, it explains how these formalisms can be connected to the notions of automata over words and trees.